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Simplifying -1(8 + -7a) + -1(34 + 6a) + -4 = -1(8 + -7a) + (-1a) + 7 (8 * -1 + -7a * -1) + -1(34 + 6a) + -4 = -1(8 + -7a) + (-1a) + 7 (-8 + 7a) + -1(34 + 6a) + -4 = -1(8 + -7a) + (-1a) + 7 -8 + 7a + (34 * -1 + 6a * -1) + -4 = -1(8 + -7a) + (-1a) + 7 -8 + 7a + (-34 + -6a) + -4 = -1(8 + -7a) + (-1a) + 7 Reorder the terms: -8 + -34 + -4 + 7a + -6a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -8 + -34 = -42 -42 + -4 + 7a + -6a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -42 + -4 = -46 -46 + 7a + -6a = -1(8 + -7a) + (-1a) + 7 Combine like terms: 7a + -6a = 1a -46 + 1a = -1(8 + -7a) + (-1a) + 7 -46 + 1a = (8 * -1 + -7a * -1) + (-1a) + 7 -46 + 1a = (-8 + 7a) + (-1a) + 7 Reorder the terms: -46 + 1a = -8 + 7 + 7a + (-1a) Combine like terms: -8 + 7 = -1 -46 + 1a = -1 + 7a + (-1a) Combine like terms: 7a + (-1a) = 6a -46 + 1a = -1 + 6a Solving -46 + 1a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -46 + 1a + -6a = -1 + 6a + -6a Combine like terms: 1a + -6a = -5a -46 + -5a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -46 + -5a = -1 + 0 -46 + -5a = -1 Add '46' to each side of the equation. -46 + 46 + -5a = -1 + 46 Combine like terms: -46 + 46 = 0 0 + -5a = -1 + 46 -5a = -1 + 46 Combine like terms: -1 + 46 = 45 -5a = 45 Divide each side by '-5'. a = -9 Simplifying a = -9
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